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3 years ago

What is the value of |−32|? Numerical answer expected

2 answers:

5 0

The absolute value of -32 is positive 32. This is found by finding the distance of -32 to 0. The distance is positive 32 because you don’t use negative distance. Hope I helped!

Sever21 [200]3 years ago

4 0

The absolute value takes the distance from zero, it doesn’t matter weather it is positive or negatively

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Find the measure of angle x in the figure below: 60° 50° 110° 70°

Rina8888 [55]

Answer:

Step-by-step explanation:

Consider A=60°, B=50°, C=y°=???

So, according to the measurement of angles of a triangle.

A+B+C= 180°

60°+80°+C= 180°

140°+C=180°

C=180°-140°

C=y°=40°

So, x is also 40° since x and y are vertically opposite angles.

7 0

3 years ago

42 +(6-2)*5=2 How do I solve

denis-greek [22]

Answer:

62=2

Step-by-step explanation:

42 + (6-2) x 5 = 2

42 + (4) x 5 = 2

42 + 20 = 2

62 = 2

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2 years ago

Multiply the following rational expressions and simplify the result

GarryVolchara [31]

Answer:

Step-by-step explanation:

We have to solve the given expression,

$\frac{9y-33y^2-3y^4}{100-49y^2}.\frac{7y^2+17y+10}{14y^2+28y}$

$\frac{9y-33y^2-3y^4}{100-49y^2}.\frac{7y^2+17y+10}{14y^2+28y}$ = $\frac{-y(-9+33y+3y^3)}{100-49y^2}.\frac{7y^2+17y+10}{14y(y+2)}$

= $\frac{-y(-9+33y+3y^3)}{(10-7y)(10+7y)}.\frac{7y^2+10y+7y+10}{14y(y+2)}$

= $\frac{-y(-9+33y+3y^3)}{(10-7y)(10+7y)}.\frac{y(7y+10)+1(7y+10)}{14y(y+2)}$

= $\frac{-y(-9+33y+3y^3)}{(10-7y)(10+7y)}.\frac{(y+1)(7y+10)}{14y(y+2)}$

= $\frac{-3y(-3+11y+y^3)}{(10-7y)}.\frac{(y+1)}{14y(y+2)}$

= $\frac{-3(-3+11y+y^3)}{(10-7y)}.\frac{(y+1)}{14(y+2)}$

= $\frac{3(3-11y-y^3)(y+1)}{(10-7y)(14(y+2)}$

3 0

3 years ago

Betty had $40 in her pocket. She bought 12 identical bags of popcorn. Betty was left with $10 after buying the popcorn. What was

BartSMP [9]

If she started with $40 and ended up with $10, that means she must've used $30. Since the popcorn bags were all identical and she bought 12, you can divide 30 by 12 which gives you 2.5.

The answer is $2.50.

6 0

2 years ago

Read 2 more answers

A sanitary landfill has available space of 16.2 ha at an average depth of 10 m. Seven hundred sixty-five (765) cubic meters of s

AfilCa [17]

Answer:

16.3 years

Step-by-step explanation:

1 ha = 10,000 m^2

The total capacity of the landfill is:

$C = 16.2*10,000*10 = 1,620,000\ m^3$

If waste is compacted to twice its delivered density, its volume is half of the delivered volume. Assuming that a year has 52 weeks, the volume of compacted solid waste dumped per year is:

$V=52*(5*0.5*765)\\V=99,450\ m^3$

The expected life of the landfill is given by its capacity divided by the yearly volume:

$L=\frac{C}{V}=\frac{1,620,000}{99,450} \\L=16,3\ years$

The landfill has an expected life of 16.3 years.

6 0

2 years ago